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Stable deformed homology of torus knots
Geometry/Topology| Speaker: | Eugene Gorsky, UC Davis |
| Location: | 2112 MSB |
| Start time: | Tue, Apr 7 2026, 2:10PM |
Description
Khovanov homology is a very powerful modern topological invariant of knots and links, but it is quite hard to compute. In particular, Khovanov homology of torus knots is not known. I will describe a spectral sequence computing stable Khovanov homology of torus knots, in terms of an explicit Koszul complex. The main tool is the link-splitting deformation, or y-ification, of link homology; in the y-ified context, the relevant spectral sequence collapses and we explicitly compute the y-ified stable Khovanov homology of torus knots. This is a joint work with William Ballinger, Matt Hogancamp and Joshua Wang.